I. Mazur

collaborators

2 papers

math.PR2013

On the Skitovich-Darmois theorem for a-adic solenoids

Ivan Mazur

Let $X$ be a compact connected Abelian group. It is well-known that then there exist topological automorphisms $α_{j}, β_{j}$ of $X$ and independent random variables $ξ_{1}$ and $ξ_{2}$ w…

math.PR2011

The Skitovich-Darmois theorem for finite Abelian groups

Ivan Mazur

Let X be a finite Abelian group, xi_i, i=1,2,...,n,n>1, be independent random variables with values in X and distributions mu_i. Let alpha_{ij},i,j=1,2,...,n, be automorphisms of X…